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Finding the Fourth Proportional to 1,437.24, 1,983.44 and 877.64

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Solution

The fourth proportional to 1,437.24, 1,983.44 and 877.64 is: 1,211.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,437.24 : 1,983.44 = 877.64 : x
  2. Step 2: Convert to fraction form
    1,437.24/1,983.44 = 877.64/x
  3. Step 3: Cross multiply
    1,437.24x = 1,983.44 × 877.64
  4. Step 4: Simplify right side
    1,437.24x = 1,740,746.28
  5. Step 5: Solve for x
    x = 1,740,746.28/1,437.24
  6. Step 6: Final answer
    x = 1,211.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.